Elementary Geometry

John Golden, Oct 21, 2017

Shapes and properties. Many inspired by the work of Battista and Clements, and de Villiers.

Table of Contents

  1. 4 sides
    1. Clown!
    2. Quadrilateral - Can You Make It?
    3. Square Not Square
    4. Quadrilateral Predictions
    5. Quadrilateral Tools
    6. Trapezoids
    7. G3 M6 TB L07 Interactive Quadrilaterals
    8. 3-D Solids
  2. 3 sides
    1. Random Triangle
    2. Triangle Truths
    3. Triangle Types
    4. Two Triangles
    5. Are They Congruent?
  3. Blocks
    1. Pentominoes
    2. Pattern Blocks
    3. Deci-Blocks
    4. Pentomino Set
  4. Puzzles
    1. Square Puzzle
    2. 5-Piece Puzzle
    3. Triangle to Square Puzzle
    4. Build a Square Workshop
    5. Tetrominos

1.

4 sides

  • 1. Clown!
  • 2. Quadrilateral - Can You Make It?
  • 3. Square Not Square
  • 4. Quadrilateral Predictions
  • 5. Quadrilateral Tools
  • 6. Trapezoids
  • 7. G3 M6 TB L07 Interactive Quadrilaterals
  • 8. 3-D Solids

1.1.

Clown!

Use the pink quadrilaterals to make the clown's face. Even though they all look like squares, some have different properties that determine their shape.[br][br]This is an adaptation of one of the great Shapemakers activities from Michael Battista.
More GeoGebra at [url]mathhombre.blogspot.com[/url].
– John Golden

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1.5.

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1.6.

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1.7.

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1.8.

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2.

3 sides

  • 1. Random Triangle
  • 2. Triangle Truths
  • 3. Triangle Types
  • 4. Two Triangles
  • 5. Are They Congruent?

2.1.

Random Triangle

This sketch will show you a triangle... can you guess its angle and side type?[br][br]Give it a go!
Random Triangle
More GeoGebra at [url]mathhombre.blogspot.com[/url]
– John Golden

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2.5.

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3.

Blocks

  • 1. Pentominoes
  • 2. Pattern Blocks
  • 3. Deci-Blocks
  • 4. Pentomino Set

3.1.

Pentominoes

Finally made a set I like. Inspired by Duane Habecker's excellent GeoGebra set: https://www.geogebra.org/m/dzN68HSS[br][br]Click the polygon to flip! The dots translate and the diamonds turn.
– John Golden

3.2.

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3.3.

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3.4.

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4.

Puzzles

  • 1. Square Puzzle
  • 2. 5-Piece Puzzle
  • 3. Triangle to Square Puzzle
  • 4. Build a Square Workshop
  • 5. Tetrominos

4.1.

Square Puzzle

Inspired by a David Wees problem. [url]http://mathhombre.tumblr.com/post/120278518299/overlapping-squares[/url][br][br]If these shapes make up a square, how does their area compare?
Square Puzzle
More GeoGebra at [url]bit.ly/mh-ggb[/url]
– John Golden

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4.5.

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Information